Q: What are the prime factors of the number 232,040,412?

 A: 2, 3, 17, 22303

Why are those the prime factors of the number 232,040,412?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 232,040,412

232,040,412
Factor Arrows
2116,020,206
Factor Arrows
258,010,103
Factor Arrows
319,336,701
Factor Arrows
36,445,567
Factor Arrows
17379,151
Factor Arrows
1722,303

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 17, 22303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17 x 17 x 22,303 = 232,040,412

This can also be written as 22 x 32 x 172 x 22,3031 = 232,040,412

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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